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Finding the Fourth Proportional to 285,054.95, 427,514.39 and 85,321.71

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Solution

The fourth proportional to 285,054.95, 427,514.39 and 85,321.71 is: 127,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,054.95 : 427,514.39 = 85,321.71 : x
  2. Step 2: Convert to fraction form
    285,054.95/427,514.39 = 85,321.71/x
  3. Step 3: Cross multiply
    285,054.95x = 427,514.39 × 85,321.71
  4. Step 4: Simplify right side
    285,054.95x = 36,476,258,377.80
  5. Step 5: Solve for x
    x = 36,476,258,377.80/285,054.95
  6. Step 6: Final answer
    x = 127,962.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.